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Finding the Fourth Proportional to 22,102.31, 33,166.78 and 8,063.57

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Solution

The fourth proportional to 22,102.31, 33,166.78 and 8,063.57 is: 12,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.31 : 33,166.78 = 8,063.57 : x
  2. Step 2: Convert to fraction form
    22,102.31/33,166.78 = 8,063.57/x
  3. Step 3: Cross multiply
    22,102.31x = 33,166.78 × 8,063.57
  4. Step 4: Simplify right side
    22,102.31x = 267,442,714.96
  5. Step 5: Solve for x
    x = 267,442,714.96/22,102.31
  6. Step 6: Final answer
    x = 12,100.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.